Home / 1,534.31-2,299.83-609.47

Finding the Fourth Proportional to 1,534.31, 2,299.83 and 609.47

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Solution

The fourth proportional to 1,534.31, 2,299.83 and 609.47 is: 913.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.31 : 2,299.83 = 609.47 : x
  2. Step 2: Convert to fraction form
    1,534.31/2,299.83 = 609.47/x
  3. Step 3: Cross multiply
    1,534.31x = 2,299.83 × 609.47
  4. Step 4: Simplify right side
    1,534.31x = 1,401,677.39
  5. Step 5: Solve for x
    x = 1,401,677.39/1,534.31
  6. Step 6: Final answer
    x = 913.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.